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Finding the Third Proportional to 2,467.97 and 3,990.52

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Solution

The third proportional to 2,467.97 and 3,990.52 is: 6,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.97 : 3,990.52 = 3,990.52 : x
  2. Step 2: Convert to fraction form
    2,467.97/3,990.52 = 3,990.52/x
  3. Step 3: Cross multiply
    2,467.97x = 3,990.52 × 3,990.52
  4. Step 4: Simplify right side
    2,467.97x = 15,924,214.95
  5. Step 5: Solve for x
    x = 15,924,214.95/2,467.97
  6. Step 6: Final answer
    x = 6,452.36

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.